Alright I'm pretty lost here. I can usually deal with these types of problems fine, but with the given equations I don't seem to be getting anywhere.

Given two parametric functions:

x(t)=5e−05tsin(2t)

y(t)=5e−05tcos(2t)

0t6.

Find the integral.

Find the arc length, 0t6.

Find the arc length, [0).

Getting the derivative of each term and squaring it yields some nasty numbers and I'm running out of submissions.

The equation to go with that I've been using is: